Fault-tolerant data transmission model based on redundant residue number system

1996 ◽  
Author(s):  
Lieliang Yang ◽  
Chengshu Li ◽  
Tao Nie
Keyword(s):  
Data Transmission ◽  
Fault Tolerant ◽  
Number System ◽  
Residue Number System ◽  
Transmission Model ◽  
Model Based ◽  
Residue Number ◽  
Redundant Residue Number System

scholarly journals A New Approach to Detecting and Correcting Single and Multiple Errors in Wireless Sensor Networks

2021 ◽  
pp. 27-43
Author(s):  
Yakubu Abdul-Wahab Nawusu ◽  
Alhassan Abdul-Barik ◽  
Salifu Abdul-Mumin
Keyword(s):  
Wireless Sensor Networks ◽  
Data Transmission ◽  
Communication Systems ◽  
Fault Tolerant ◽  
Number System ◽  
Residue Number System ◽  
Wireless Sensor ◽  
New Approach ◽  
Transmission Errors ◽  
Residue Number

Transmission errors are commonplace in communication systems. Wireless sensor networks like many other communication systems are susceptible to various forms of errors arising from sheer noise, heat and interference in sensor circuitry and from other forms of distortions. Research efforts in WSN have attempted to guarantee reliable and accurate data transmission from a target environment in the midst of these unwanted exposures. Many techniques have appeared and employed over the years to deal with the issue of transmission errors in communication systems. In this paper we present a new approach for single and multiple error control in WSN relying on the inherent fault tolerant feature of the Redundant Residue Number System. As an off shoot of Residue Number System, RRNS's fault tolerant capabilities help in building robust systems required for reliable data transmission in WSN systems. The Chinese Remainder Theorem and the Manhattan Distance Heuristics are used during the integer recovery process when detecting and correcting error digit(s) in a transmitted data. The proposed method performs considerably better in terms of data retrieval time than similar approaches by needing a smaller number of iterations to recover an originally transmitted data from its erroneous form. The approach in this work is also less computationally intensive compared to recent techniques during the error correction steps. Evidence of utility of the technique is illustrated in numerical examples.

scholarly journals Single and Multiple Error Detection and Correction using Redundant Residue Number System for Cryptographic and Stenographic Schemes

2020 ◽  
pp. 1-14
Author(s):  
Peter Awon-natemi Agbedemnab ◽  
Edward Yellakuor Baagyere ◽  
Mohammed Ibrahim Daabo
Keyword(s):  
Error Detection ◽  
Fault Tolerant ◽  
Number System ◽  
Residue Number System ◽  
Accurate Information ◽  
Transmission Errors ◽  
Error Detection And Correction ◽  
Residue Number ◽  
Efficient Scheme ◽  
Redundant Residue Number System

The possibility of errors being propagated during the encoding process of cryptographic and steganographic schemes is real due to the introduction of noise by ciphering the data from stage to stage. This real possibility therefore requires that an efficient scheme is proposed such that if after the decoding process the accurate information is not discovered, then it can be employed to detect and correct any errors in the system. The Residue Number System (RNS) by its nature is fault tolerant since an error in one digit position does not affect other digit positions; but the Redundant Residue Number System (RRNS) had been used over the years to effectively detect and correct errors. In this paper, we propose an efficient scheme that can detect and correct both single and multiple errors after and/or during computation and/or transmission provided the redundant moduli are sufficient enough. A theoretical analysis of the performance of the proposed scheme show it will be a better choice for detecting and correcting computational and transmission errors to existing similar state-of-the-art schemes.

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